Search a number
-
+
94117488 = 24319313329
BaseRepresentation
bin1011001110000…
…01111001110000
320120002122220220
411213001321300
5143043224423
613201133040
72221662003
oct547017160
9216078826
1094117488
1149143953
122762a180
131666412a
14c6dd53a
1583e19e3
hex59c1e70

94117488 has 80 divisors (see below), whose sum is σ = 264268800. Its totient is φ = 28753920.

The previous prime is 94117477. The next prime is 94117523. The reversal of 94117488 is 88471149.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26608 + ... + 29936.

It is an arithmetic number, because the mean of its divisors is an integer number (3303360).

Almost surely, 294117488 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 94117488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132134400).

94117488 is an abundant number, since it is smaller than the sum of its proper divisors (170151312).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

94117488 is a wasteful number, since it uses less digits than its factorization.

94117488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3390 (or 3384 counting only the distinct ones).

The product of its digits is 64512, while the sum is 42.

The square root of 94117488 is about 9701.4168037457. The cubic root of 94117488 is about 454.8729476598.

The spelling of 94117488 in words is "ninety-four million, one hundred seventeen thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 19 24 31 38 48 57 62 76 93 114 124 152 186 228 248 304 372 456 496 589 744 912 1178 1488 1767 2356 3329 3534 4712 6658 7068 9424 9987 13316 14136 19974 26632 28272 39948 53264 63251 79896 103199 126502 159792 189753 206398 253004 309597 379506 412796 506008 619194 759012 825592 1012016 1238388 1518024 1651184 1960781 2476776 3036048 3921562 4953552 5882343 7843124 11764686 15686248 23529372 31372496 47058744 94117488